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Finding the Fourth Proportional to 585.90, 877.05 and 550.26

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Solution

The fourth proportional to 585.90, 877.05 and 550.26 is: 823.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.90 : 877.05 = 550.26 : x
  2. Step 2: Convert to fraction form
    585.90/877.05 = 550.26/x
  3. Step 3: Cross multiply
    585.90x = 877.05 × 550.26
  4. Step 4: Simplify right side
    585.90x = 482,605.53
  5. Step 5: Solve for x
    x = 482,605.53/585.90
  6. Step 6: Final answer
    x = 823.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.